Finding the Fourth Proportional to 1,877,649,465.60, 2,818,327,841.28 and 1,409,683,253.76
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Solution
The fourth proportional to 1,877,649,465.60, 2,818,327,841.28 and 1,409,683,253.76 is: 2,115,916,540.46
Step by Step Solution
- Step 1: Write the proportion equation
1,877,649,465.60 : 2,818,327,841.28 = 1,409,683,253.76 : x - Step 2: Convert to fraction form
1,877,649,465.60/2,818,327,841.28 = 1,409,683,253.76/x - Step 3: Cross multiply
1,877,649,465.60x = 2,818,327,841.28 × 1,409,683,253.76 - Step 4: Simplify right side
1,877,649,465.60x = 3,972,949,561,457,987,584 - Step 5: Solve for x
x = 3,972,949,561,457,987,584/1,877,649,465.60 - Step 6: Final answer
x = 2,115,916,540.46
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.